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Finding the Third Proportional to 506,400 and 1,106,902.50

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Solution

The third proportional to 506,400 and 1,106,902.50 is: 2,419,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,400 : 1,106,902.50 = 1,106,902.50 : x
  2. Step 2: Convert to fraction form
    506,400/1,106,902.50 = 1,106,902.50/x
  3. Step 3: Cross multiply
    506,400x = 1,106,902.50 × 1,106,902.50
  4. Step 4: Simplify right side
    506,400x = 1,225,233,144,506.25
  5. Step 5: Solve for x
    x = 1,225,233,144,506.25/506,400
  6. Step 6: Final answer
    x = 2,419,496.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.